Answer:
comparing both equation we get,
2X+1=X+9
or, X=8
Y=X+9
or, Y=17
therefore the required solution is (8,17)
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
T2.T?
5.
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A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
Please help don’t guess pick answer in the bottom please I’m begging you I need this grade!!! 40pts!!!
Answer:
1) x/4 < 4 ⇒ x < 4*4 ⇒ x< 16
x = 4, 8, 122) x + 3 ≥ 15 ⇒ x ≥ 12
x = 123) 19 > x + 4 ⇒ 15 > x ⇒ x < 15
x = 4, 144) 12 ≥ 6x ⇒ 2 ≥ x ⇒ x ≤ 2
x = 1, 25) 7x ≤ 21 ⇒ x ≤ 3
x = 1, 2, 36) 5 + x < 7 ⇒ x< 2
x = 17) x - 5 < 17 ⇒ x < 22
x = 9, 14, 158) 3x ≥ 18 ⇒ x ≥ 6
x = 6, 119) 20 > x + 9 ⇒ 11 > x ⇒ x < 11
x = 4, 8Solve for u
U/9= 4/6
the answer is 6............
Answer:
U=6
Step-by-step explanation:
U/9= 4/6
Both side multiply 9
U=4*9/6
U=36/6
U=6
If brownies are $1.80 each how much is that for 10 brownies
Answer:
18 just move the decimal because there is one zero
Which expression is equivalent to d
6d – 3d?
Answer:
d (d^6-3)
the 6 is the exponent
Step-by-step explanation:
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
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What is the slope of the line
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
Ashley has 3/4 cups of sugar. She used 1/3 of the sugar she has to make holiday cookies for her family. How many cups of sugar did Ashley use to make the holiday cookies?
Write an equation of the line passing through the given points.
(3,-25) and (-3,5)
y=
Answer:
y = -5x -10
Step-by-step explanation:
This is the slope-intercept form:
[tex]y-y_{1} = m(x -x_{1})[/tex]
First, we look for the slope. The slope is found by using the equation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]
m = -5.
Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:
y - (-25) = -5(x - 3)
y + 25 = -5(x - 3)
y + 25 = -5x + 15
y = -5x + 15 -25
y = -5x -10
Answer:
the answer to the problem is y= -5x - 10
Define/explain the Pythagorean theorem.
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:
January: 400 subscribers
February: 400 x 1.5 = 600 subscribers
March: 600 x 1.5 = 900 subscribers
April: 900 x 1.5 = 1,350 subscribers
The sequence to represent the number of subscribers in the 3 months that followed are :
First month = 600 subscribers
Second month = 900 subscribers
Third month = 1350 subscribers
The blogger has 400 subscriber to her blog in January.
The number of subscriber has grown by a factor of 1.5 every month since then.
Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below
January Subscribers = 400
February Subscribers = 1.5 × 400 = 600
March Subscribers = 1.5 × 600 = 900
April subscribers = 1.5 × 900 = 1350
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I need help thank you
Answer:
Maybe three
Step-by-step explanation:
Im not sure
Find the area of a square
with a side length of 3/4
Answer:
area of square
= side × side
= 3/4 ×3/4
=9/16
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.25[/tex]
40% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.4[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]
The proportion of this group that likes chocolate is 0.625.
what is the coefficient of x in the equation?
y=x+4
Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
jess is driving to a town 210 miles away with a speed of 60 miles per hour. if he makes no stops, how long will the trip take?
in hours?
Answer:
3 and a half hours
Step-by-step explanation:
just divide 210 by 60
The product of two numbers is 42.63. If one number is 21. What is the other number
Answer:
21.63 is the other number
Step-by-step explanation:
21 + 21.63 equals 42.63
Answer:
Hi dear. I'm helping you to solve the question and in return you help me with my question.
Step-by-step explanation:
Question : The product of two numbers is 42.63. If one number is 21. What is the other number?
Solution :-
Product of two numbers = 42.63
One of the number = 21
Therefore , the other number = 42.63 ÷ 21 = 2.03
Hope my solution helps you and don't forget to help me with maths questions in return...
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
how would we find the original price if we know the sale price and the % of savings?
Answer:1.5 i think i dont know the second question tho
What is the total area? Use 3 for Pi.
Answer fast pls!! xx
What is the total area? Use 3 for Pi.
answer fast pls! xx
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
What is the quotient of 6.16 divided
by 1.1?
Answer:
5.6
Step-by-step explanation:
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
Select all the logarithmic expressions that have been evaluated correctly, to the nearest thousandth.
The logarithmic expressions are log6 with base 3 and log5 with base 4.
What is logarithmic function?
It is the inverse of the exponential functions. It is equal to y=㏒x.
How to solve logarithmic functions?
A) log 8 with base 3=log8/log3=0.903089987/0.4771212547=1.8927
B) log 6 with base 3=log6/log3= 0.77815125038/0.4771212547=1.6309
C) log 5 with base 4=log5/log4=0.69897000433/0.60205999132=1.1609
D) log 32 with base 2=log32/log2=1.50514997832/0.30102999566=5
E) log 7 with base 4=log 7/ log 4=
=0.84509804001/0.60205999132=1.403
Hence the required logarithmic expressions be on B and C.
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Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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3
Which is the best estimate for the percent equivalent to 3/8
000
26%
27%
37%
38%
The Answer is C
Also 37%